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The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
B. Beckermann, "The Condition Number of Real Vandermonde, Krylov and Positive Definite Han- kel Matrices," Numerische Mathematik, Vol. 85, pp. 553-577...
文献获取On the bounds to the condition number of bordered positive definite matrices
In this paper we improve and extend to higher order corrections the strict bound obtained by Spedicato and Burmeister for the condition number of positive definite matrices bordered by an extra row and column.
On the bounds to the condition number of bordered positive definite matrices
On the bounds to the condition number of bordered positive definite matricesdoi:10.1007/bf02575791N. Y. DengE. Spedicato
on the bounds to the condition number of bordered positive definite matrices (1)
on the bounds to the condition number of bordered positive definite matrices (1)doi:10.1007/bf02575791N Y Deng_ E Spedicato
NY Deng
，
_ E Spedicato
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0
Geometrical properties of the Frobenius condition number for positive definite matrices
We study the geometrical properties of the Frobenius condition number on the cone of symmetric and positive definite matrices. This number, related to t...
Functions operating on sparse positive definite matrices encoded by graphs
We consider the problem of characterizing entrywise functions that preserve the cone of positive definite matrices when applied to every off-diagonal element. Our results extend theorems of Schoenberg [Duke Math. J. 9], Rudin [Duke Ma...
On the Condition of Symmetric Quasi-Definite Matrices
A promising approach to solving sparse systems of equations involves creating an augmented system that is symmetric quasi-definite. The attraction of th...
ON THE CONDITION OF SYMMETRIC QUASI-DEFINITE MATRICES.
A promising approach to solving sparse systems of equations involves creating an augmented system that is symmetric quasi-definite. The attraction of th...
A survey of a class of algebraic multilevel interation methods for positive definite symmetric matrices
Summary: The algebraic multilevel iteration method is a recursively defined method to construct spectrally equivalent preconditioners to a sequence of s...
On The Frobenius Condition Number of Positive Definite Matrices
p/ pWe present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of...
